An efficient PSTD algorithm for cylindrical coordinates

Author

Liu, Qing Huo ; He, Jiang Qi

Author_Institution

Dept. of Electr. & Comput. Eng., Duke Univ., Durham, NC, USA

Volume

49

Issue

9

fYear

2001

fDate

9/1/2001 12:00:00 AM

Firstpage

1349

Lastpage

1351

Abstract

A pseudospectral time-domain (PSTD) algorithm is developed to overcome limitations in the conventional solution methods for Maxwell´s equations in cylindrical coordinates. It is based on the fast Fourier transform (FFT) representation of spatial derivatives and a centered grid. The main contributions of this algorithm are to eliminate the singularity problem at the axis and to allow a larger time step. It uses a coarse grid close to the Nyquist sampling density provided that the geometrical modeling does not require fine cells. It reduces the required number of unknowns and the number of time steps in the finite-difference time-domain (FDTD) method and is efficient for large-scale problems

Keywords

Maxwell equations; electromagnetic wave propagation; electromagnetic wave scattering; electromagnetic waves; fast Fourier transforms; finite difference time-domain analysis; spectral-domain analysis; time-domain analysis; FDTD method; FFT representation; Maxwell´s equations; Nyquist sampling density; PSTD algorithm; centered grid; coarse grid; cylindrical coordinates; electromagnetic waves; fast Fourier transform; finite-difference time-domain; large-scale problems; perfectly matched layer; pseudospectral time-domain algorithm; singularity problem; spatial derivatives; Electromagnetic scattering; Fast Fourier transforms; Finite difference methods; Helium; Large-scale systems; Maxwell equations; Perfectly matched layers; Sampling methods; Solid modeling; Time domain analysis;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/8.947028

Filename

947028